Structure quasi-conforme et dimension conforme d'après P. Pansu, M. Gromov et M. Bourdon
Symmetric products of the Euclidean spaces and the spheres
By , , we denote the -th symmetric product of a metric space as the space of the non-empty finite subsets of with at most elements endowed with the Hausdorff metric . In this paper we shall describe that every isometry from the -th symmetric product into itself is induced by some isometry from into itself, where is either the Euclidean space or the sphere with the usual metrics. Moreover, we study the -th symmetric product of the Euclidean space up to bi-Lipschitz equivalence and...
The Apollonian metric: limits of the comparison and bilipschitz properties.
The Apollonian metric: uniformity and quasiconvexity.
The area formula for -mappings
Let be a mapping in the Sobolev space . Then the change of variables, or area formula holds for provided removing from counting into the multiplicity function the set where is not approximately Hölder continuous. This exceptional set has Hausdorff dimension zero.
The boundary absolute continuity of quasiconformal mappings (II).
In this paper a quite complete picture is given of the absolute continuity on the boundary of a quasiconformal map B3 → D, where B3 is the unit 3-ball and D is a Jordan domain in R3 with boundary 2-rectifiable in the sense of geometric measure theory. Moreover, examples are constructed, for each n ≥ 3, showing that quasiconformal maps from the unit n-ball onto Jordan domains with boundary (n - 1)-rectifiable need not have absolutely continuous boundary values.
The class of mappings with bounded specific oscillation, and integrability of mappings with bounded distortion on Carnot groups.
The complement of a quasimöbius sphere is uniform.
The covering radius of a mapping and the multiplicity of a covering.
The Differential of a Quasi-conformal Mapping of a Carnot-Caratheodry Space.
The existence of quasimeromorphic mappings.
The free quasiworld. Freely quasiconformal and related maps in Banach spaces
The Hilbert-Smith conjecture for quasiconformal actions.
The limit of mappings with finite distortion.
The limit theorem for mappings with bounded distortion on the Heisenberg group and the local homeomorphism theorem.
The linear topological quasiconformality coefficient and sufficient conditions for the branch points of mappings.
The Poisson extension of K -quasihomography on the unit circle
In this paper some estimates for the Poisson extension of a K-quasihomography on the unit circle are given.
The quasihyperbolic metric, growth, and John domains.
The Riemannian structure of John and uniform domains in .
The wall conjecture on domains in euclidean spaces.